Fraction Operations

Equivalent Fractions

100

Rewrite the following fractions with a common denominator:

(5/8) and (1/3)

(15/24) and (8/24)

answers may vary

200

Rewrite the following fractions with a common denominator:

(3/4) and (2/7)

(21/28) and (8/28)

300

Rewrite the following fractions with a common denominator:

(7/9) and (5/6)

(14/18) and (15/18) 

answers may vary

400

Rewrite the following fractions with a common denominator:

(4/10) and (2/8)

(16/40) and (10/40) 

answers may vary

500

Rewrite the following fractions with a common denominator:

(6/9) and (3/7)

(42/63) and (27/63)

answers may vary

Adding Fractions/Mixed Numbers

100

(5/8) + (1/3)

(23/24)

200

(3/4) + (2/7)

(29/28) = 1 (1/28)

300

(7/9) + (5/6)

(29/18) = 1 (11/18)

400

Dylan practiced dancing for (4/10) hours on Tuesday and (2/8) hour on Wednesday. Provide an estimate and solution for his total hours of dancing on those two days.

Estimate: About (3/4) hour

Solution: (26/40) or (13/20) hour

500

Arbel was growing a garden with her mom at home. She noticed one of her tomato plants was growing at an interesting rate. On Monday, the plant grew 1 (6/9) inches. On Tuesday, it only grew (3/7) inches. Estimate and solve how many total inches the plant grew.

Estimate: About 2 inches

Solution: 2 (6/63) inches or 2 (2/21) inches

Subtracting Fractions/Mixed Numbers

100

(5/8) - (1/3)

(7/24)

200

(3/4) - (2/7)

(13/28)

300

(5/6) - (7/9)

(1/18)

400

Zach and Diego played basketball for (4/10) hours on Wednesday and (2/8) hours on Thursday. Estimate and solve how many more hours they played on Wednesday than Thursday.

Estimate: About (1/2) hour

Solution: (6/40) hour or (3/20) hour

500

Maria ran 1 (6/9) miles on Thursday and walked the remaining (3/7) mile of her workout. How much more did she run than walk? Estimate and solve.

Estimate: About 1 mile

Solution: 1 (15/63) mile

"Fraction of"/Multiplication

100

What is (1/3) of 24?

8

200

What is (3/5) of 45?

27

300

20 x (3/10)

6

400

Look at 15 x (3/5). Will the product be greater than 15? How do you know?

No, because I am multiplying by a fraction less than one, so the product will be less than 15

500

What is (2/3) of (3/4)? Draw a picture to show your product.

(6/12)

Division

100

Max has (1/4) gallons of milk. He wants to share the milk with 3 of his friends. How much milk will Max and his friends get?

(1/16) gallons

200

Katherine has 8 pounds of clay for her ceramics party. If she breaks the clay into (1/5) pound pieces, how many pieces will she have?

40 pieces

300

Write a number story for the following:

7 divided by (2/3)

answers will vary

400

Write a number story for (1/6) divided by 8

answers will vary

500

(5/6) divided by (3/4)

1 (2/18) or 1 (1/9)